On independence of \(k\)-record processes: Ignatov's theorem revisited

DOI10.1214/AOAP/1034801255zbMath0888.60041OpenAlexW2056558204MaRDI QIDQ1371008

Yi-Ching Yao

Publication date: 1 June 1998

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1034801255

zbMATH Keywords

Poisson processIgnatov's theorem\(k\)-record processtiebreaking rules

Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (1)

Doob, Ignatov and optional skipping.

Cites Work

• Independent Poisson processes generated by record values and inter-record times
• The k-record processes are i.i.d.
• Ignatov's theorem: an abbreviation of the proof of Engelen, Tommassen and Vervaat
• The strong approximation of extremal processes (II)
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